What is the Least Common Multiple of 90954 and 90969?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 90954 and 90969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90954 and 90969, than apply into the LCM equation.

GCF(90954,90969) = 3
LCM(90954,90969) = ( 90954 × 90969) / 3
LCM(90954,90969) = 8273994426 / 3
LCM(90954,90969) = 2757998142

Least Common Multiple (LCM) of 90954 and 90969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90954 and 90969. First we will calculate the prime factors of 90954 and 90969.

Prime Factorization of 90954

Prime Factorization of 90969

Now multiplying the highest exponent prime factors to calculate the LCM of 90954 and 90969.

LCM(90954,90969) = 2¹ × 3² × 31¹ × 163¹ × 30323¹
LCM(90954,90969) = 2757998142